A property of the Routh table and its use

Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some of the others ac...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 39; no. 12; pp. 2494 - 2496
Main Authors Beghi, A., Lepschy, A., Viaro, U.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.12.1994
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Character generation
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Differential equations
Exact sciences and technology
History
Laplace equations
Polynomials
Robust stability
Robustness
Transfer functions
Routh criterion
Stability
Energy
Pulse response
Inverse transformation
Integral
Laplace transformation
Transfer function
Rational function
Online AccessGet full text

Cover

More Information
Summary:Starting from a given polynomial, the Routh algorithm recursively generates a family of all-pole transfer functions with the same energy of the impulse response and a suitable number of its derivatives. It is shown that each of these energies is given by a linear combination of some of the others according to the entries of a row of the Routh table for the given polynomial. This fact can be exploited to evaluate certain quadratic integrals in an efficient way.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/9.362839